The asymptotic stability of two species stochastic Lotka-Volterra model is explored in this paper. Firstly, the Lotka-Volterra model with random parameter is built and reduced into the equivalent deterministic system ...The asymptotic stability of two species stochastic Lotka-Volterra model is explored in this paper. Firstly, the Lotka-Volterra model with random parameter is built and reduced into the equivalent deterministic system by orthogonal polynomial approximation. Then, the linear stability theory and Routh-Hurwitz criterion for nonlinear deterministic systems are applied to the equivalent one. At last, at the aid of Lyapunov second method, we obtain that as the random intensity or statistical parameter of random variable is changed, the stability about stochastic Lotka-Volterra model is different from the deterministic system.展开更多
With the development of 5G technology, network communication has become the most commonly used tool in People’s Daily life and production. Due to the huge user base, the problem of site selection of communication net...With the development of 5G technology, network communication has become the most commonly used tool in People’s Daily life and production. Due to the huge user base, the problem of site selection of communication network has become more and more complex. This paper mainly studies the problem of mobile communication network site planning, using 0 - 1 planning knapsack model, heuristic algorithm, simulated annealing algorithm and other methods, combined with MATLAB software to effectively solve the location of site coordinates and the type of base station selection, give the optimal results of site selection. It has certain guiding significance to mobile communication network site planning.展开更多
文摘The asymptotic stability of two species stochastic Lotka-Volterra model is explored in this paper. Firstly, the Lotka-Volterra model with random parameter is built and reduced into the equivalent deterministic system by orthogonal polynomial approximation. Then, the linear stability theory and Routh-Hurwitz criterion for nonlinear deterministic systems are applied to the equivalent one. At last, at the aid of Lyapunov second method, we obtain that as the random intensity or statistical parameter of random variable is changed, the stability about stochastic Lotka-Volterra model is different from the deterministic system.
文摘With the development of 5G technology, network communication has become the most commonly used tool in People’s Daily life and production. Due to the huge user base, the problem of site selection of communication network has become more and more complex. This paper mainly studies the problem of mobile communication network site planning, using 0 - 1 planning knapsack model, heuristic algorithm, simulated annealing algorithm and other methods, combined with MATLAB software to effectively solve the location of site coordinates and the type of base station selection, give the optimal results of site selection. It has certain guiding significance to mobile communication network site planning.
